Why does solid LiCl not conduct electricity, but molten LiCl is an excellent electrolyte

In solid LiCl, the lithium ions and chloride ions are held in fixed positions by the strong ionic bonds, so that they cannot move around
So there are no ions / electrons to conduct electricity

However, in molten LiCl (liquid state), the ionic bonds are broken, and the lithium / chloride ions can move around freely. They become mobile ions
These mobile ions conduct electricity well and therefore molten LiCl is an excellent electrolyte